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Transient thermal dissipation efficiency based method for topology optimization of transient heat conduction structures

机译:瞬态热传导结构拓扑优化基于瞬态散热效率的方法

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摘要

It's well known that the overall heat transfer capacity can be maximized by minimizing the heat compliance in topology optimization of steady heat conduction structures. Naturally, the integral of the heat compliance over time called the Transient Heat Compliance (THC) is often used as the objective to reflect the overall heat transfer efficiency in transient cases. However, this simple and direct extension is insufficient in some cases. In this study, a new performance index called the Transient Thermal Dissipation Efficiency (TTDE), which includes the dissipation of the potential capacity caused by heat-absorption produced by the temperature rise of material, is proposed to describe the overall heat transfer efficiency of transient heat conduction structures. A topology optimization model with the TTDE as the objective function is built and the analytical sensitivity expression is derived. Several typical examples are presented and the design results show that compared to the THC-based model, the TTDE-based model can get optimized designs with higher heat transfer efficiency, which demonstrates the TTDE is a better objective for topology optimization of transient heat conduction for high heat transfer efficiency.
机译:众所周知,通过最小化拓扑优化稳定的导热结构的热顺应,可以最大化整体传热能力。当然,随着时间的推移而被称为瞬态热顺应性(THC)的热符合的积分通常用作反映瞬态案例中的总传热效率的目的。但是,在某些情况下,这种简单和直接的延伸不足。在这项研究中,提出了一种称为瞬态散热效率(TTDE)的性能指标,包括通过材料的温度升高产生的吸热引起的潜在能力的耗散,以描述瞬态的总传热效率导热结构。构建了与TTDE为目标函数的拓扑优化模型,并导出分析敏感性表达式。提出了几个典型的示例,并且设计结果表明,与基于TTD的模型相比,基于TTDE的模型可以获得具有更高传热效率的优化设计,这表明TTDE是用于瞬态热传导的拓扑优化的更好目标高传热效率。

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